Next, we consider the following discrete-time dynamical system in [1]}:
\( \begin{array}{ll}x_{1,t+1}=x_{1,t}^2+x_{1,t}e^{x_{2,t}}-x_{2,t}^2,\\x_{2,t+1}=x_{1,t}^2-x_{1,t}e^{x_{2,t}}+x_{2,t}^2,\end{array}\) 
